IXL - Distance, rate, and time word problems with two vehicles (Algebra 1 practice)

Wanda and Miranda like water sports. Wanda is kayaking down the river from a dock in Johnson County at 6 miles per hour. Miranda is jet skiing up the river from the same dock, going 30 miles per hour. How long will it be before the two of them are 9 miles apart on the river?

If necessary, round your answer to the nearest minute.

hours and minutes

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Learn with an example

question

Zane and Camilla are coworkers who live in different cities. They both left the office at the same time today. Camilla drove directly east toward Oxford at a speed of 37 miles per hour. Zane took the bus directly west toward Westminster, traveling 32 miles per hour. In how long were the two of them 44 miles apart?

If necessary, round your answer to the nearest minute.

hours and minutes

key idea

The equation that relates distance, rate (speed), and time is

When two bodies are moving toward each other or away from each other, r is the sum of the rates.

solution

The distance to be covered is 44 miles.

The bus's rate is 32 miles per hour. Zane's car's rate is 37 miles per hour. Together, they are increasing the gap between them at a rate of

miles per hour.

Now write an equation and solve for

Plug in

and

Plug in

and

0.637681…

Divide both sides by 69

The units for t are hours. Convert the units to hours and minutes, rounded to the nearest minute.

0.637681…

≈

So, t is approximately 38 minutes.

Zane and Camilla were 44 miles apart in about 38 minutes.

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Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Unit rates

DD.2Convert mixed time units

D.8Add, subtract, multiply, or divide two decimals

C.3Round decimals

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